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A programme for computational analysis in the age of data
www.damtp.cam.ac.uk/user/mjc249/talks/SCI_computer_assisted%20proofs.pdf12 Sep 2022: 23/36. What went wrong? 24/36. What went wrong? 24/36. Recall complexity of Karmarkar’s algorithm: 𝑂(𝑛3.5𝐿2 log 𝐿 log log 𝐿 ). Question: What happens with 𝐿 =? -
Pseudoergodic operators and periodic boundary conditions
www.damtp.cam.ac.uk/user/mjc249/pdfs/Pseudoergodic_BCs.pdf22 Jul 2022: In particular, we refer the reader to work by Böttcher [14,24],Böttcher and Silbermann [22], Lindner [59, 61], Marletta [62], and Marletta andScheichl [63]. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/dynamics/clas.pdf21 Oct 2022: 2.4.1 Noether’s Theorem 24. 2.5 Applications 26. 2.5.1 Bead on a Rotating Hoop 26. ... kinetic energy,. T(t2) T(t1) =i. Fexti dri. i 6=j. Fij dri (1.24). -
Order and information in the patterns of spinning magnetic…
www.damtp.cam.ac.uk/user/lauga/papers/208.pdf29 Jan 2022: Wang et al., Sci. Adv. 8, eabk0685 (2022) 14 January 2022. S C I E N C E A D V A N C E S | R E S E A R C H A R T I C L E. 1 of 14. C O N D E N S E D M A T T E R P H Y S I C S. Order and information in the patterns of spinning magnetic micro-disks at -
Elastohydrodynamic Synchronization of Rotating Bacterial Flagella
www.damtp.cam.ac.uk/user/lauga/papers/210.pdf18 May 2022: Niedermayer, B. Eckhardt, and P. Lenz, Chaos 18,. 037128 (2008).[24] D. -
Residual Dynamic Mode Decomposition Rigorous data-driven computation…
www.damtp.cam.ac.uk/user/mjc249/talks/mpEDMD_talk.pdf18 Nov 2022: mpEDMD: First convergent Galerkin method! 24/34. Numerical examples. 25/34. Lorenz system: scalar-valued spec measሶ𝑥1 = 10 𝑥2 𝑥1 , ሶ𝑥2 = 𝑥1 28 𝑥3 𝑥2, ሶ𝑥3 = 𝑥1𝑥2. -
Collapse of a hemicatenoid bounded by a solid wall: instability and…
www.damtp.cam.ac.uk/user/gold/pdfs/hemicatenoid.pdf7 Jul 2022: Eng. Sci.,1976, 31, 901–911. 24 S. Engelnkemper, M. Wilczek, S. V. ... Tcholakova, M. Vethamuthuand A. Lips, Surfactant Mixtures for Control of Bubble SurfaceMobility in Foam Studies, Langmuir, 2008, 24, 9956–9961. -
electro
www.damtp.cam.ac.uk/user/tong/em/el2.pdf3 Dec 2022: 2. Zd3r0 r0 J(r0) (3.24). Just as in the electric case, the multipole expansion continues to higher terms. ... 3.24),. B(r) =µ04. 3(m1 r̂)r̂ m1. r3. (3.30). Now we’ll consider how this aects the second dipole m = m2. -
4 The Hamiltonian Formalism
www.damtp.cam.ac.uk/user/tong/dynamics/dynhtml/S4.html27 Mar 2022: Expand out all 24 terms and watch them cancel one by one. -
PNAS202212078_proof
www.damtp.cam.ac.uk/user/lauga/papers/213.pdf9 Nov 2022: Newtonian fluids, includingboth short-range and long-range hydrodynamic interactions,direct collisions, and Brownian motion (24, 28, 29, 31, 32,43, 44). ... 24) forNewtonian fluids to predict the size of the radius of curvatureusing the distribution of
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